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Finding the Fourth Proportional to 371,910.80, 513,484.06 and 285,716.26

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Solution

The fourth proportional to 371,910.80, 513,484.06 and 285,716.26 is: 394,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,910.80 : 513,484.06 = 285,716.26 : x
  2. Step 2: Convert to fraction form
    371,910.80/513,484.06 = 285,716.26/x
  3. Step 3: Cross multiply
    371,910.80x = 513,484.06 × 285,716.26
  4. Step 4: Simplify right side
    371,910.80x = 146,710,745,192.82
  5. Step 5: Solve for x
    x = 146,710,745,192.82/371,910.80
  6. Step 6: Final answer
    x = 394,478.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.